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Diagonals AE, BG, CK of 14-gon ABCD...KLMN are concurrent

Source: 2023 OLCOMA Costa Rica National Olympiad, Final Round, 3.3

March 20, 2024
geometrypolygonconcurrency

Problem Statement

Let ABCD…KLMNABCD \dots KLMN be a regular polygon with 1414 sides. Show that the diagonals AEAE, BGBG, and CKCK are concurrent.
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